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Suppose X and Y have joint density f(x,y) = 10x^2y when 0 < y < x < 1.
a) Find the marginal densities of X and Y and the,
b) Conditional density of Y given X = x
A biologist with the Department of Agriculture is studying the growth of artichokes. She knows that the number of artichokes produced by each plant follows a distribution which is approximately normal.
a song writer wishes to compose a melody. each note in the melody must be one of the 14 notes in her vocal range. how
question a researcher has been hired by a pizzeria to determine which type of crust customers prefer. the restaurant
If we assume that the download times are normally distributed, what percent of users will wait between 5 and 10 seconds for the homepage to download?
The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type.
A standard deviation of $3000. find the salaries for teachers in the bottom 10% and upper 10%, then transform from a z score to an x-score.
Psychologists wanted to test whether a certain accelerated class' IQ was different than average. There were 25 students in the class; their mean IQ score was 108.
Solve different inventory control problems using an appropriate OR method.
What is the optimal solution if the annual return for U.S. Oil changes from $3 to $8 per share (everything else stays the same)? What is the value of the total return?
The mean life of a battery used in a digital clock is 305 days. The lives of the battery follow normal distribution. The battery was recently modified to last longer. A sample of 20 of the modified batteries had a mean life of 311 days with a stan..
Suppose you want an 85 percent confidence level. What value would you use to multiply the standard error of the mean?
Describe the standard normal distribution. Explain why it can be used to find probabilities for all normal distributions.
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